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Finding the Fourth Proportional to 214,750.88, 321,883.26 and 109,347.20

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Solution

The fourth proportional to 214,750.88, 321,883.26 and 109,347.20 is: 163,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,750.88 : 321,883.26 = 109,347.20 : x
  2. Step 2: Convert to fraction form
    214,750.88/321,883.26 = 109,347.20/x
  3. Step 3: Cross multiply
    214,750.88x = 321,883.26 × 109,347.20
  4. Step 4: Simplify right side
    214,750.88x = 35,197,033,207.87
  5. Step 5: Solve for x
    x = 35,197,033,207.87/214,750.88
  6. Step 6: Final answer
    x = 163,897.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.